limit as θ approaches 0 of (sin(8θ))/θ

Lösung

θ \to 0 lim (\frac{sin ( 8 θ )}{θ})

8

Schritte zur Lösung

θ \to 0 lim (\frac{sin ( 8 θ )}{θ})

Wende das L'Hopital Theorem an

= θ \to 0 lim (\frac{cos ( 8 θ ) \cdot 8}{1})

Setze den Wert

θ = 0

ein

= \frac{cos ( 8 \cdot 0 ) \cdot 8}{1}

Vereinfache

\frac{cos ( 8 \cdot 0 ) \cdot 8}{1} : 8

= 8

x \to 0 lim (sin (\frac{π}{6}))

x \to 0 lim (e^{- \frac{1}{x ^{4}}})

x \to 3 lim (2 x^{2} + 3)

x \to 1 lim (x^{2} + 2 x - 1)

x \to 3 lim (2 x 12 - x)